the treatment, perhaps counter-intuitively

Well I'm no medical expert, but the experts I see/read tell me that the high temps are the bodies evolved response to slow down the virus because it struggles at higher temperatures.
Indeed the time honoured advice of lemon, honey & an aspirin is forwned on, because acetylsalicylic acid is vaso-dilatory** which cools you down, thus lengthening recovery.
Yer pays yer money and takes yer choice.

** so is whisky (or whiskey) - but then who cares?.